In this paper, we studies convergence of the sample average approximation of two-stage stochastic system of nonsmooth equations. A solution of two-stage stochastic system of nonsmooth equations is a pair: a first stage solution which is independent of the randomness and a second stage solution which is a function of random vectors. Sufficient conditions for the existence, uniqueness, continuity and regularity of solutions of two-stage stochastic system of nonsmooth equations are presented. Moreover, under some moderate conditions, we derive qualitative and quantitative convergence for the solutions obtained from solving the discretized problem.